BACHELOT-MOTET, Agnes; BACHELOT, Alain

doi:10.1088/1361-6382/aa5db8

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BACHELOT-MOTET, Agnes
Institut de Mathématiques de Bordeaux [IMB]

BACHELOT, Alain
Institut de Mathématiques de Bordeaux [IMB]

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Article de revue

Ce document a été publié dans

Classical and Quantum Gravity. 2017-03-09, vol. 34, n° 5, p. 235010

IOP Publishing

Résumé en anglais

We investigate the wave propagation on a compact 3-manifold of constant positive curvature with a non trivial topology, the Poincar\'e dodecahedral space, when the scale factor is exponentially increasing. We prove the existence of a limit state as t tends to infinity and we get its analytic expression. The deep sky is described by this asymptotic profile thanks to the Sachs-Wolfe formula. We transform the Cauchy problem into a mixed problem posed on a fundamental domain determined by the quaternionic calculus. We perform an accurate scheme of computation: we employ a variational method using a space of second order finite elements that is invariant under the action of the binary icosahedral group.< Réduire

DOI

http://dx.doi.org/10.1088/1361-6382/aa5db8

Project ANR

Analyse Asymptotique en Relativité Générale - ANR-12-BS01-0012

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Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251